Noisy pursuit and pattern formation of self-steering active particles
We consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjusting its direction of motion accordingly. An analytical and simulation study in two spatial dimensions reveals that pursuit perfor...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac924f |
| _version_ | 1797748395608113152 |
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| author | Segun Goh Roland G Winkler Gerhard Gompper |
| author_facet | Segun Goh Roland G Winkler Gerhard Gompper |
| author_sort | Segun Goh |
| collection | DOAJ |
| description | We consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjusting its direction of motion accordingly. An analytical and simulation study in two spatial dimensions reveals that pursuit performance depends on the interplay between self-propulsion, active reorientation, limited maneuverability, and random noise. Noise is found to have two opposing effects: (i) it is necessary to disturb regular, quasi-elliptical orbits around the target, and (ii) slows down pursuit by increasing the traveled distance of the pursuer. For a stationary target, we predict a universal scaling behavior of the mean pursuer–target distance and of the mean first-passage time as a function of Pe ^2 /Ω, where the Péclet number Pe characterizes the activity and Ω the maneuverability. Importantly, the scaling variable Pe ^2 /Ω depends implicitly on the level of thermal or active noise. A similar behavior is found for a moving target, but modified by the velocity ratio α = u _0 / v _0 of target and pursuer velocities u _0 and v _0 , respectively. We also propose a strategy to sort active pursuers according to their motility by circular target trajectories. |
| first_indexed | 2024-03-12T16:04:09Z |
| format | Article |
| id | doaj.art-f3ee7c1e54a14b019841022a630f2dc6 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:04:09Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
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| series | New Journal of Physics |
| spelling | doaj.art-f3ee7c1e54a14b019841022a630f2dc62023-08-09T14:27:19ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124909303910.1088/1367-2630/ac924fNoisy pursuit and pattern formation of self-steering active particlesSegun Goh0https://orcid.org/0000-0003-3027-8815Roland G Winkler1https://orcid.org/0000-0002-7513-0796Gerhard Gompper2https://orcid.org/0000-0002-8904-0986Theoretical Physics of Living Matter, Institute of Biological Information Processing and Institute for Advanced Simulation, Forschungszentrum Jülich , 52425 Jülich, GermanyTheoretical Physics of Living Matter, Institute of Biological Information Processing and Institute for Advanced Simulation, Forschungszentrum Jülich , 52425 Jülich, GermanyTheoretical Physics of Living Matter, Institute of Biological Information Processing and Institute for Advanced Simulation, Forschungszentrum Jülich , 52425 Jülich, GermanyWe consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjusting its direction of motion accordingly. An analytical and simulation study in two spatial dimensions reveals that pursuit performance depends on the interplay between self-propulsion, active reorientation, limited maneuverability, and random noise. Noise is found to have two opposing effects: (i) it is necessary to disturb regular, quasi-elliptical orbits around the target, and (ii) slows down pursuit by increasing the traveled distance of the pursuer. For a stationary target, we predict a universal scaling behavior of the mean pursuer–target distance and of the mean first-passage time as a function of Pe ^2 /Ω, where the Péclet number Pe characterizes the activity and Ω the maneuverability. Importantly, the scaling variable Pe ^2 /Ω depends implicitly on the level of thermal or active noise. A similar behavior is found for a moving target, but modified by the velocity ratio α = u _0 / v _0 of target and pursuer velocities u _0 and v _0 , respectively. We also propose a strategy to sort active pursuers according to their motility by circular target trajectories.https://doi.org/10.1088/1367-2630/ac924factive Brownian particlesteeringmaneuverabilitymoving targetparticle sortingpredator–prey dynamics |
| spellingShingle | Segun Goh Roland G Winkler Gerhard Gompper Noisy pursuit and pattern formation of self-steering active particles New Journal of Physics active Brownian particle steering maneuverability moving target particle sorting predator–prey dynamics |
| title | Noisy pursuit and pattern formation of self-steering active particles |
| title_full | Noisy pursuit and pattern formation of self-steering active particles |
| title_fullStr | Noisy pursuit and pattern formation of self-steering active particles |
| title_full_unstemmed | Noisy pursuit and pattern formation of self-steering active particles |
| title_short | Noisy pursuit and pattern formation of self-steering active particles |
| title_sort | noisy pursuit and pattern formation of self steering active particles |
| topic | active Brownian particle steering maneuverability moving target particle sorting predator–prey dynamics |
| url | https://doi.org/10.1088/1367-2630/ac924f |
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